Question

1 Find the remainder (without division) on dividing f(x) by (x - 2) where
(i) f(x) = 5x2 - 7x + 4
(ii) f(x) = 2x3 - 7x2 + 3.
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Answer 1

Answer:

1) 10

2) -9

Step-by-step explanation:

$x - 2= 0\\x = 2$

(i) We substitute the value of x as 2 and then solve

$5(2)^{2} - 7(2) + 4\\\\ = 20 - 14 + 4\\\\= 10$

(ii) We again substitute the value of x as 2

$2(2)^{3} - 7(2)^{2} + 3\\\\= 16 - 28 + 3\\\\= -9$

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